Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
If a ∝ b, b ∝ \(\frac{1}{c}\) and c ∝ d, then the relation between a and d is:
a ∝ \(\frac{1}{d}\)
a ∝ d
a ∝ d2
a ∝ √d
Correct answer
a ∝ \(\frac{1}{d}\)
Reema runs \(\frac{5}{4}\) times as fast as Rekha. In view of this Reema allows Rekha a lead of 50 metres to Rekha in a friendly race competition. What is the distance from the starting point where both Reema and Rekha meet?
250 m
225 m
200 m
240 m
Correct answer
250 m
Study the given pie-chart and answer the question that follows.
The pie-chart shows total expenditure of Rs. 3,00,00,000 on different items for constructing a flat in a town.
The percentage of the total expenditure on Labour and Timber is:
\(30 \frac{5}{9} % \)
\( 30 \frac{1}{3} % \)
\(30 \frac{1}{9} % \)
\(30 \frac{7}{9} %\)
Correct answer
\(30 \frac{5}{9} % \)
Study the given table and answer the question that follows.
The table shows the number of students doing various courses in various cities.
| City | MBA | MCA | M.Sc. | M.Com. | M.A. | Total |
|---|---|---|---|---|---|---|
| Ahmedabad | 1234 | 1384 | 1440 | 1289 | 1332 | 6679 |
| Bengaluru | 1156 | 1783 | 1874 | 1003 | 1340 | 7156 |
| Bhopal | 1187 | 1347 | 1532 | 1321 | 1486 | 6873 |
| Chennai | 1342 | 1473 | 1129 | 1765 | 1666 | 7375 |
| New Delhi | 1230 | 1098 | 1128 | 1865 | 1777 | 7098 |
| Hyderabad | 1456 | 1234 | 1556 | 1653 | 1789 | 7688 |
| Kolkata | 1239 | 1785 | 1865 | 1504 | 1762 | 8155 |
In Chennai, the number of students in MBA is nearly what percentage of students in M.A? (rounded off to 2 digits after decimal)
76.25%
80.55%
92.12%
99.23%
Correct answer
76.25%
What is the length (in cm) of the transverse common tangent between two circles with radii 6 cm and 4 cm, given that the distance between their centres is 14 cm?
2√6
4√6
5√6
3√6
Correct answer
2√6
What is the value of the given expression?
\(\frac{1}{12}+\frac{1}{16}+\frac{1}{8}\)
\(\frac{13}{48}\)
\(\frac{10}{72}\)
\(\frac{3}{48}\)
\( \frac{13}{18}\)
Correct answer
\(\frac{13}{48}\)
A sum of Rs. 1,00,000 was taken from a bank at the rate of 7% p.a to be compounded annually for 5 years. Calculate the compound interest. (Closest to a Rs.)
Rs. 40,000
Rs. 20,963
Rs. 40,567
Rs. 40,255
Correct answer
Rs. 40,000
The value of (1 + sin4 A - cos4 A) cosec2 A is:
-2
2
1
-1
Correct answer
-2
In what ratio must a shopkeeper mix two types of rice worth Rs. 55 per kg and Rs. 70 per kg, so that the average cost of the mixture is Rs. 65 per kg?
1 ∶ 2
2 ∶ 3
3 ∶ 2
1 ∶ 3
Correct answer
1 ∶ 2
Simplify the given expression.
\(\frac{a^2-b^2-2 b c-c^2}{a^2+b^2+2 a b-c^2}\)
\( \frac{a+b+c}{a-b-c} \)
\(\frac{a-b-c}{a+b-c} \)
\( \frac{a+b-c}{a-b-c}\)
\( \frac{a-b+c}{a+b-c}\)
Correct answer
\( \frac{a+b+c}{a-b-c} \)
Find the greatest possible length (in meters) that can be used to exactly measure the lengths 6 m, 5 m 25 cm, and 12 m 50 cm.
0.25 m
0.75 m
0.90 m
0.35 m
Correct answer
0.25 m
P and Q can do a work together in 30 days. Q and R can do the same work together in 24 days and R and P together in 20 days. They started the work together, but Q and R left after 10 days. How many more days will P take to finish the remaining work?
23
21
18
19
Correct answer
23
An item with a marked price of Rs. 1,940 was sold at a discount of 15%. At what price (in Rs.) was the item sold?
1659
1639
1649
1654
Correct answer
1659
Study the given table and answer the question that follows.
The table shows the production of five types of cars P, Q, R, S and T by a company from the year 1989 to 1994.
| Type of Car | 1989 | 1990 | 1991 | 1992 | 1993 | 1994 | Total |
|---|---|---|---|---|---|---|---|
| P | 8 | 20 | 16 | 17 | 21 | 6 | 88 |
| Q | 16 | 10 | 14 | 12 | 12 | 14 | 78 |
| R | 21 | 17 | 16 | 15 | 13 | 8 | 90 |
| S | 4 | 6 | 10 | 16 | 20 | 31 | 87 |
| T | 25 | 18 | 19 | 30 | 14 | 27 | 133 |
| Total | 74 | 71 | 75 | 90 | 80 | 86 | 476 |
During the period 1989-94, which type of car featured a continuous decrease in production?
S
Q
R
T
Correct answer
S
The least common multiple of 210, 336 and 504 is :
5040
3360
2100
4560
Correct answer
5040
The LCM of \(\frac{1}{3}, \frac{3}{5}, \frac{4}{7} \) and \(\frac{9}{16}\) is:
36
49
38
81
Correct answer
36
What will be the difference between the total surface area and the curved surface area of a hemisphere having 4 cm diameter?
5π cm2
8π cm2
4π cm2
4.4π cm2
Correct answer
5π cm2
At a courier shop, the weights of 8 parcels were found to be 1.5 kg, 1.25 kg, 1.35 kg, 750 gm, 950 gm, 0.7 kg, 0.4 kg, and 0.5 kg.
Find their average weight.
875 gm
900 gm
925 gm
700 gm
Correct answer
875 gm
The volume of a right circular cone having a base diameter of 14 cm is 196 π cm3.Find the perpendicular height of this cone
10 cm
12 cm
14 cm
8 cm
Correct answer
10 cm
The given table shows marks obtained by four students in four subjects.
| Subjects | Maths (100) | English (100) | Science (100) | Hindi (100) |
|---|---|---|---|---|
| Student | ||||
| A | 75 | 80 | 75 | 85 |
| B | 80 | 70 | 70 | 80 |
| C | 70 | 85 | 85 | 75 |
| D | 85 | 75 | 80 | 70 |
The average percentage of marks obtained by all students in Hindi is:
77.0%
77.6%
77.8%
77.5%
Correct answer
77.0%
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.